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The fact is that when you switch on a magnetic field over a superconductor, currents start to flow exactly as one would expect if they are generated by the induced electric field. You deny that the electric field is responsible for this and stated that:
(i) Feynman deliberately misled his students because the mechanism is so complicated.
(ii) Then you argued that the mechanism is driven by some obscure "advanced mathematics" which you are unable to explain.
That's not true. Of course, it is the induced electric field that causes the screening currents. However, you have to show that the screening currents that will be generated will indeed expell the magnetic field completely. That requires a non trivial calculation using advanced methods of theoretical physics which the average undergraduate physics student isn't familiar with, let alone a person who thinks that a circular steady current will radiate em-waves beause ''the charges are accelerating toward the center''.